Course detail

Biological system modelling

FEKT-MMOBAcad. year: 2009/2010

Biological (medical and ecological) system, desriction of its properties. Theoretical approaches used for modeling of biologcial systems (models based on analogy with elektrotechnical systems, compartment systems). Description of basic biological models - models of population dynamics, epidemiological models, models of biochemical processes, models of tissue structure, examples of basic models of human organism, pharmacokinetic models

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

doc. Ing. Radovan Jiřík, Ph.D.

Department

Department of Biomedical Engineering (UBMI)

Learning outcomes of the course unit

Capability to analyse the function of biological systems and to design their models. Implementation of mathematical models in MATLAB and SIMULINK.

Prerequisites

The subject knowledge on the Bachelor´s degree level is requested.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

Requirements for completion of the course are specified by a regulation issued by the lecturer responsible for the course and updated for every.

Course curriculum

1. Organization, overview
2. Models based on analogy with electrotechnical systems
3. Compartment models
4. Pharmacokinetic models
5. Discrete models of single populations
6. Discrete models of multiple populations
7. Continuous models of single populations
8. Continuous models of multiple populations
9. Discrete epidemiological models

Work placements

Not applicable.

Aims

The aim of the course is to provide students with basic approaches and algorithms used for modeling of biological (medical and ecological) systems.

Specification of controlled education, way of implementation and compensation for absences

The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Holčík, J., Fojt, O.: Modelování biologických systémů (Vybrané kapitoly), skripta VUT v Brně, 2001. (CS)
JIŘÍK,R.: Modely v biologii a epidemiologii. El. skripta VUT v Brně, 2006. (CS)

Recommended reading

Pazourek, J.: Simulace biologických systémů. GRADA, Praha 1992. (CS)
V. Eck, M. Razím, Biokybernetika, skripta ČVUT v Praze, 1998. (CS)

Classification of course in study plans

  • Programme EEKR-M Master's

    branch M-BEI , 1. year of study, summer semester, compulsory
    branch M-KAM , 2. year of study, summer semester, optional interdisciplinary

  • Programme EEKR-CZV lifelong learning

    branch ET-CZV , 1. year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

doc. Ing. Radovan Jiřík, Ph.D.

Syllabus

1. Organization, overview
1.1. Purpose of modeling
1.2. Classification of models
1.3. Models of static systems
1.4. Models of dynamic systems with lumped parameters
1.5. Models of dynamic systems with distributed parameters
2. Models based on analogy with electrotechnical systems
2.1. Generalized system properties
2.2. Model of cardiovascular system
2.3. Model of airway system
2.4. Model of diffusion in cells
3. Compartment models
3.1. Compartment models in diagnostics
4. Pharmacokinetic models
4.1. Basic pharmacokinetic parameters
4.2. One-compartment pharmacokinetic models
4.3. Multi-compartment pharmacokinetic models
5. Discrete models of single populations
5.1. Malthus model
5.2. Logistic model
5.3. Alternatives to logistic model
5.4. Linear models of structured populations
6. Discrete models of multiple populations
6.1. Predator-prey model
6.2. Further models of multiple populations
7. Continuous models of single populations
7.1. Malthus model
7.2. Logistic model
8. Continuous models of multiple populations
9. Discrete epidemiological models
9.1. SIR models
9.2. SI models
9.3. SIS models
9.4. Furter modifications of epidemiological models

Exercise in computer lab

13 hours, optionally

Teacher / Lecturer

Ing. Michal Bartoš, Ph.D.

Syllabus

1. Modeling of cardiovacular system
2. Simulation of continuous models
3. Pharmacokinetic models
4. Modeling of single populations
5. Modeling of multiple populations
6. Epidemiological models